Xref: utzoo comp.theory:82 sci.math:8758
Path: utzoo!utgpu!jarvis.csri.toronto.edu!cs.utexas.edu!wuarchive!udel!rochester!uhura.cc.rochester.edu!ur-valhalla!bobm
From: bobm@ee.rochester.edu (Bob Molyneaux)
Newsgroups: comp.theory,sci.math
Subject: Matrix Properties
Keywords: Matrix, nilpotent, idempotent
Message-ID: <1989Nov29.155406.23647@ee.rochester.edu>
Date: 29 Nov 89 15:54:06 GMT
Reply-To: bobm@ee.rochester.edu
Followup-To: comp.theory
Organization: University of Rochester Dept. of Electrical Engineering
Lines: 16

Hi All,
	A square matrix A is said to be nilpotent if
A^k = 0 for some value of k.

	A square matrix A is said to be idempotent if
A^2 = A ==>  A^k = A for all values of k.

	Is there a classification for the square matrix
A for which A^k = A for not all but some value(s) of k?

	Please email resonses along with references.
(Subject references not yours!)

Thanks

bobm.ee.rochester.edu


Brought to you by Super Global Mega Corp .com